Simplifying Exponents and Rewriting Rational Exponents and Radicals

Simplify

• 9
• √9
• 3√9
• can't simplify

According to exponent rules, when we multiply the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

• x¹⁹y¹²z⁹
• x¹⁹ y¹⁴z⁹
• x¹³y¹⁰z⁹
• x²³y⁴²z¹¹

According to exponent rules, when we divide the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

• y¹⁵
• y⁵⁰
• y²
• y⁵

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

According to exponent rules, when we raise the power to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²